Wavefunctions of a prolate spheroid and multiplexing in relativistic quantum cryptography on orthogonal states

Relativistic quantum cryptography involves not only the geometric properties of the state vectors of a quantum system in the Hilbert space but also the properties of carriers of quantum states in the Minkowski spacetime. A physical type of quantum object carrying information with extremely high velocity in spacetime is of fundamental importance. The structure of spacetime, more precisely, irreducible representations of the Poincarй group, in the Hilbert space is responsible for the existence of massless particles, photons. In this sense, the structure of spacetime is in fact used in relativistic quantum cryptography systems for cryptographic key distribution. This makes it possible to guarantee the security of keys even with the use of orthogonal states.